"If you can't think of any weak knowledge points for a while, I can give you another five minutes to think about it, and after five minutes, tell me what you don't understand very well. If not, then we have passed the section on elementary number theory. ”

Tao Li did not rush them, but gave them another five minutes very leniently.

With the lesson of the previous question, how dare these students think very highly of themselves, one by one picked up the book, turned to the chapter of elementary number theory, quickly glanced at the important knowledge points, for what they did not understand, they made a mark with a pen, and then turned to the next page to continue the previous operation.

It doesn't matter if you don't check, this self-examination, many students are surprised to find that they actually have so many blind spots in knowledge, the reason why they feel that their number theory learning is not too good, in addition to the number theory questions in the test paper itself are not too difficult, and more importantly, there are many knowledge points Although they are blind spots, but because they do not often investigate, they give them an illusion of "I have no doubts, I can do anything".

After this self-examination, everyone found at least two or more blind spots in knowledge, and even listed as many as ten knowledge points! However, most of the students' doubts were concentrated on a few knowledge points, which was also convenient for Tao Li to focus on answering questions.

When explaining these knowledge points, Tao Li's understanding of the requirements for this knowledge point in the competition syllabus also completely changed everyone's opinion of him!

Although it is the first time to participate in the training of mathematics competitions, Tao Li's application of knowledge points and the arrangement of teaching methods give people the feeling that he is completely like an experienced old teacher, various theorems are at his fingertips, and the collusion and integration between knowledge points are also very in place.

Even students like Zheng Tongya and Shen Lei, who have a firm grasp of the knowledge points, can get new inspiration from Tao Li's explanation and deepen their understanding of number theory again!

Some people even think that even when they participated in the summer camp during the summer vacation, those college professors who came to train them were not as good as Tao Li!

This is a very strange idea, Tao Li is only the first time to participate in the training, and those professors, who have been studying this area for decades, should not be inferior to Tao Li, right?

However, many students have such thoughts that they can't even tell themselves.

Not only that, Tao Li's explanation of the knowledge points is also very easy to understand. Originally, the knowledge in number theory was all based on the study of "numbers", and the first few introductory theories were still very straightforward, but the later they went, the more abstract the theorems became.

And this kind of abstraction is also different from the kind of abstraction in geometry, if you encounter an abstract theorem in geometry, you can understand it well through spatial imagination or drawing a diagram. But the knowledge points in number theory are not good, you can't build a graphical structure in your mind to help you understand, and you can't achieve the goal through drawing, the only way is to understand it yourself.

That's right, you can only rely on yourself to "realize". For the knowledge in number theory, even Chen Tianxiang is half-aware when explaining, and many things are not clear, from the perspective of exam-taking, Chen Tianxiang for these difficult to understand knowledge points, the advice to students is to memorize!

As long as you can apply it in the exam, mathematics is a tool, as long as you don't want to do research in theoretical mathematics in the future, you don't need to know how to get to various theorems, you can use it.

But Tao Li is different, when he explains these knowledge points, he can use a very straightforward and popular language to answer students' questions, but this kind of popular and straightforward teaching language will not lose the scientific and rigorous nature of mathematics!

This is a very contradictory statement, popular and scientific, straightforward and rigorous, these are two contradictory communities, but it is such a contradictory existence, which is actually well reflected in Tao Li.

After Tao Li's lecture, the knowledge points that originally confused the students became clear in an instant, and the understanding of the knowledge points in their minds became more profound.

Tao Li came in when the first class had been in class for fifteen minutes, from the time he began to talk about the topic on the blackboard, to explain the knowledge points related to number theory, there was no break during this period, Tao Li has been talking above, and the students are also listening carefully below, everyone doesn't even feel the passage of time, in their opinion, listening to Tao Li's lecture is completely enjoyable!

"Alright, let's rest for fifteen minutes, and we'll talk about it later. After talking about another knowledge point, Tao Li also realized that he might have been talking for a long time, his mouth was dry, and he was ready to rest his throat.

At this time, there were less than five minutes left before the second class ended, and Tao Li was stunned to speak for more than an hour.

Listening to Tao Li's words, many students realized that the class had been going on for an hour, and they did not feel any tiredness and discomfort when listening to the class.

One of the built-in effects of the X-level training technique is to keep the students in the best possible condition at all times, regardless of how long the lesson lasts.

However, the side effect of this effect is that once Tao Li stops lecturing, the hidden tiredness will instantly sweep over the whole body.

"This Teacher Tao is also too godly, he can explain number theory so thoroughly. ”

"Well, I also think that there are several theorems that I interrupt and give up understanding. I was ready to memorize by rote, but when I heard him like this today, I instantly had a feeling that my mouth was suddenly opened, and everything was straightened out. ”

"Thinking about it, we actually questioned Mr. Tao's ability at the beginning, but now we are really being slapped in the face. ”

…………

A few students who were resting on their desks took this opportunity to start talking in a whisper.

In just an hour, Tao Li had completely conquered these somewhat unruly students.

On the other side, Zhang Xingchen and Zheng Tongya were also discussing the question of "prisoners catching soybeans", and they felt that through this question, they could dig out more knowledge. Shen Lei, who was sitting next to Zheng Tongya, was occasionally attracted by the discussion between the two of them, and couldn't help but join the group.

Tao Li, who was sitting at the podium table, had nothing to do, so he started to play, thinking that he hadn't used the ability analysis function of the system for a long time, so he wanted to analyze Shen Lei, Zheng Tongya and Zhang Xingchen at the same time......